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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Generalized Inverse Operators - And Fredholm Boundary-Value Problems (Hardcover, 2nd ed.)
Loot Price: R4,792
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Generalized Inverse Operators - And Fredholm Boundary-Value Problems (Hardcover, 2nd ed.)
Series: Inverse and Ill-Posed Problems Series
Expected to ship within 12 - 17 working days
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The book is devoted to the foundations of the theory of
boundary-value problems for various classes of systems of
differential-operator equations whose linear part is represented by
Fredholm operators of the general form. A common point of view on
numerous classes of problems that were traditionally studied
independently of each other enables us to study, in a natural way,
the theory of these problems, to supplement and improve the
existing results, and in certain cases, study some of these
problems for the first time. With the help of the technique of
generalized inverse operators, the Vishik- Lyusternik method, and
iterative methods, we perform a detailed investigation of the
problems of existence, bifurcations, and branching of the solutions
of linear and nonlinear boundary-value problems for various classes
of differential-operator systems and propose new procedures for
their construction. For more than 11 years that have passed since
the appearance of the first edition of the monograph, numerous new
publications of the authors in this direction have appeared. In
this connection, it became necessary to make some additions and
corrections to the previous extensively cited edition, which is
still of signifi cant interest for the researchers. For
researchers, teachers, post-graduate students, and students of
physical and mathematical departments of universities. Contents:
Preliminary Information Generalized Inverse Operators in Banach
Spaces Pseudoinverse Operators in Hilbert Spaces Boundary-Value
Problems for Operator Equations Boundary-Value Problems for Systems
of Ordinary Differential Equations Impulsive Boundary-Value
Problems for Systems of Ordinary Differential Equations Solutions
of Differential and Difference Systems Bounded on the Entire Real
Axis
General
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